Semicontinuity Results on Parametric Vector Variational Inequalities with Polyhedral Constraint Sets

被引:8
作者
Chen, C. R. [1 ,2 ]
Li, S. J. [1 ,2 ]
机构
[1] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China
[2] Chongqing Univ, Math Sci Res Inst Chongqing, Chongqing 401331, Peoples R China
基金
中国国家自然科学基金;
关键词
Semicontinuity; Parametric vector variational inequalities; Polyhedral constraint sets; Pareto solutions; Scalarization; QUASI-EQUILIBRIUM PROBLEMS; SOLUTION MAPPINGS; GENERALIZED SYSTEMS; STABILITY; CONTINUITY; INCLUSIONS; MONOTONE;
D O I
10.1007/s10957-012-0199-y
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
New results on the lower semicontinuity and upper semicontinuity properties of the Pareto solutions to a parametric vector variational inequality with a polyhedral constraint set are obtained by scalarization approaches.
引用
收藏
页码:97 / 108
页数:12
相关论文
共 27 条
[21]   Lower Semicontinuity of the Solution Mappings to a Parametric Generalized Ky Fan Inequality [J].
Li, S. J. ;
Fang, Z. M. .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2010, 147 (03) :507-515
[22]   On the stability of generalized vector quasivariational inequality problems [J].
Li, SJ ;
Chen, GY ;
Teo, KL .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2002, 113 (02) :283-294
[23]   Lower semicontinuity of the solution map to a parametric vector variational inequality [J].
Wong, Mu Ming .
JOURNAL OF GLOBAL OPTIMIZATION, 2010, 46 (03) :435-446
[24]   A new proof approach to lower semicontinuity for parametric vector equilibrium problems [J].
Xu, Shu ;
Li, Sheng-Jie .
OPTIMIZATION LETTERS, 2009, 3 (03) :453-459
[25]   Monotone affine vector variational inequalities [J].
Yen, N. D. ;
Yao, J. -C. .
OPTIMIZATION, 2011, 60 (1-2) :53-68
[26]  
Yen ND, 2000, NONCON OPTIM ITS APP, V38, P467
[27]   Lower Semicontinuity for Parametric Weak Vector Variational Inequalities in Reflexive Banach Spaces [J].
Zhong, Ren-you ;
Huang, Nan-jing .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2011, 150 (02) :317-326